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Finding the Third Proportional to 36,413.50 and 54,954.25

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Solution

The third proportional to 36,413.50 and 54,954.25 is: 82,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413.50 : 54,954.25 = 54,954.25 : x
  2. Step 2: Convert to fraction form
    36,413.50/54,954.25 = 54,954.25/x
  3. Step 3: Cross multiply
    36,413.50x = 54,954.25 × 54,954.25
  4. Step 4: Simplify right side
    36,413.50x = 3,019,969,593.06
  5. Step 5: Solve for x
    x = 3,019,969,593.06/36,413.50
  6. Step 6: Final answer
    x = 82,935.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.